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Finding the Fourth Proportional to 9,493.16, 14,242.79 and 4,563.16

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Solution

The fourth proportional to 9,493.16, 14,242.79 and 4,563.16 is: 6,846.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.16 : 14,242.79 = 4,563.16 : x
  2. Step 2: Convert to fraction form
    9,493.16/14,242.79 = 4,563.16/x
  3. Step 3: Cross multiply
    9,493.16x = 14,242.79 × 4,563.16
  4. Step 4: Simplify right side
    9,493.16x = 64,992,129.62
  5. Step 5: Solve for x
    x = 64,992,129.62/9,493.16
  6. Step 6: Final answer
    x = 6,846.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.